{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Lid driven cavity\n",
    "\n",
    "$$\n",
    "\\renewcommand{\\DdQq}[2]{{\\mathrm D}_{#1}{\\mathrm Q}_{#2}}\n",
    "\\renewcommand{\\drondt}{\\partial_t}\n",
    "\\renewcommand{\\drondx}{\\partial_x}\n",
    "\\renewcommand{\\drondy}{\\partial_y}\n",
    "\\renewcommand{\\drondtt}{\\partial_{tt}}\n",
    "\\renewcommand{\\drondxx}{\\partial_{xx}}\n",
    "\\renewcommand{\\drondyy}{\\partial_{yy}}\n",
    "\\renewcommand{\\dx}{\\Delta x}\n",
    "\\renewcommand{\\dt}{\\Delta t}\n",
    "\\renewcommand{\\grandO}{{\\mathcal O}}\n",
    "\\renewcommand{\\density}[2]{\\,f_{#1}^{#2}}\n",
    "\\renewcommand{\\fk}[1]{\\density{#1}{\\vphantom{\\star}}}\n",
    "\\renewcommand{\\fks}[1]{\\density{#1}{\\star}}\n",
    "\\renewcommand{\\moment}[2]{\\,m_{#1}^{#2}}\n",
    "\\renewcommand{\\mk}[1]{\\moment{#1}{\\vphantom{\\star}}}\n",
    "\\renewcommand{\\mke}[1]{\\moment{#1}{e}}\n",
    "\\renewcommand{\\mks}[1]{\\moment{#1}{\\star}}\n",
    "$$\n",
    "\n",
    "In this tutorial, we consider the classical $\\DdQq{2}{9}$ and $\\DdQq{3}{15}$ to simulate a lid driven acvity modeling by the Navier-Stokes equations. The $\\DdQq{2}{9}$ is used in dimension $2$ and the $\\DdQq{3}{15}$ in dimension $3$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The $\\DdQq{2}{9}$ **for Navier-Stokes**\n",
    "\n",
    "The $\\DdQq{2}{9}$ is defined by:\n",
    "\n",
    "* a space step $\\dx$ and a time step $\\dt$ related to the scheme velocity $\\lambda$ by the relation $\\lambda=\\dx/\\dt$,\n",
    "* nine velocities $\\{(0,0), (\\pm1,0), (0,\\pm1), (\\pm1, \\pm1)\\}$, identified in pylbm by the numbers $0$ to $8$,\n",
    "* nine polynomials used to build the moments\n",
    "\n",
    "$$ \n",
    "\\{1, \\lambda X, \\lambda Y, 3E-4, (9E^2-21E+8)/2, 3XE-5X, 3YE-5Y,X^2-Y^2, XY\\},\n",
    "$$\n",
    "\n",
    "where $E = X^2+Y^2$.\n",
    "\n",
    "* three conserved moments $\\rho$, $q_x$, and $q_y$,\n",
    "* nine relaxation parameters (three are $0$ corresponding to conserved moments): $\\{0,0,0,s_\\mu,s_\\mu,s_\\eta,s_\\eta,s_\\eta,s_\\eta\\}$, where $s_\\mu$ and $s_\\eta$ are in $(0,2)$,\n",
    "* equilibrium value of the non conserved moments\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\\mke{3} &= -2\\rho + 3(q_x^2+q_y^2)/(\\rho_0\\lambda^2), \\\\ \\mke{4} &= \\rho-3(q_x^2+q_y^2)/(\\rho_0\\lambda^2), \\\\ \\mke{5} &= -q_x/\\lambda, \\\\ \\mke{6} &= -q_y/\\lambda, \\\\ \\mke{7} &= (q_x^2-q_y^2)/(\\rho_0\\lambda^2), \\\\ \\mke{8} &= q_xq_y/(\\rho_0\\lambda^2),\\end{aligned}\n",
    "$$\n",
    "\n",
    "where $\\rho_0$ is a given scalar.\n",
    "\n",
    "This scheme is consistant at second order with the following equations (taken $\\rho_0=1$)\n",
    "\n",
    "$$\n",
    "\\begin{gathered} \\drondt\\rho + \\drondx q_x + \\drondy q_y = 0,\\\\ \\drondt q_x + \\drondx (q_x^2+p) + \\drondy (q_xq_y) = \\mu \\drondx (\\drondx q_x + \\drondy q_y ) + \\eta (\\drondxx+\\drondyy)q_x, \\\\ \\drondt q_y + \\drondx (q_xq_y) + \\drondy (q_y^2+p) = \\mu \\drondy (\\drondx q_x + \\drondy q_y ) + \\eta (\\drondxx+\\drondyy)q_y,\\end{gathered}\n",
    "$$\n",
    "\n",
    "with $p=\\rho\\lambda^2/3$.\n",
    "\n",
    "We write the dictionary for a simulation of the Navier-Stokes equations on $(0,1)^2$.\n",
    "\n",
    "In order to impose the boundary conditions, we use the bounce-back conditions to fix $q_x=q_y=0$ at south, east, and west and $q_x=\\rho u$, $q_y=0$ at north. The driven velocity $u$ could be $u=\\lambda/10$.\n",
    "\n",
    "The solution is governed by the Reynolds number $Re = \\rho_0u / \\eta$. We fix the relaxation parameters to have $Re=1000$. The relaxation parameters related to the bulk viscosity $\\mu$ should be large enough to ensure the stability (for instance $\\mu=10^{-3}$).\n",
    "\n",
    "We compute the stationary solution of the problem obtained for large enough final time. We plot the solution with the function quiver of matplotlib."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reynolds number:  1.000e+03\n",
      "Bulk viscosity :  1.000e-04\n",
      "Shear viscosity:  2.000e-04\n",
      "relaxation parameters: [0.0, 0.0, 0.0, 1.8573551263001487, 1.8573551263001487, 1.7337031900138697, 1.7337031900138697, 1.7337031900138697, 1.7337031900138697]\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import sympy as sp\n",
    "import matplotlib.pyplot as plt\n",
    "import pylbm\n",
    "\n",
    "X, Y, LA = sp.symbols('X, Y, LA')\n",
    "rho, qx, qy = sp.symbols('rho, qx, qy')\n",
    "\n",
    "def bc(f, m, x, y):\n",
    "    m[qx] = rhoo * vup\n",
    "\n",
    "def plot(sol):\n",
    "    pas = 2\n",
    "    y, x = np.meshgrid(sol.domain.y[::pas], sol.domain.x[::pas])\n",
    "    u = sol.m[qx][::pas,::pas] / sol.m[rho][::pas,::pas]\n",
    "    v = sol.m[qy][::pas,::pas] / sol.m[rho][::pas,::pas]\n",
    "    nv = np.sqrt(u**2+v**2)\n",
    "    normu = nv.max()\n",
    "    u = u / (nv+1e-5)\n",
    "    v = v / (nv+1e-5)\n",
    "    plt.quiver(x, y, u, v, nv, pivot='mid')\n",
    "    plt.title('Solution at t={0:8.2f}'.format(sol.t))\n",
    "    plt.show()\n",
    "\n",
    "# parameters\n",
    "Re = 1000\n",
    "dx = 1./128  # spatial step\n",
    "la = 1.      # velocity of the scheme\n",
    "Tf = 10      # final time of the simulation\n",
    "vup = la/5   # maximal velocity obtained in the middle of the channel\n",
    "rhoo = 1.    # mean value of the density\n",
    "mu = 1.e-4   # bulk viscosity\n",
    "eta = rhoo*vup/Re  # shear viscosity\n",
    "# initialization\n",
    "xmin, xmax, ymin, ymax = 0., 1., 0., 1.\n",
    "dummy = 3.0/(la*rhoo*dx)\n",
    "s_mu = 1.0/(0.5+mu*dummy)\n",
    "s_eta = 1.0/(0.5+eta*dummy)\n",
    "s_q = s_eta\n",
    "s_es = s_mu\n",
    "s  = [0.,0.,0.,s_mu,s_es,s_q,s_q,s_eta,s_eta]\n",
    "dummy = 1./(LA**2*rhoo)\n",
    "qx2 = dummy*qx**2\n",
    "qy2 = dummy*qy**2\n",
    "q2  = qx2+qy2\n",
    "qxy = dummy*qx*qy\n",
    "\n",
    "print(\"Reynolds number: {0:10.3e}\".format(Re))\n",
    "print(\"Bulk viscosity : {0:10.3e}\".format(mu))\n",
    "print(\"Shear viscosity: {0:10.3e}\".format(eta))\n",
    "print(\"relaxation parameters: {0}\".format(s))\n",
    "\n",
    "dico = {\n",
    "    'box': {'x': [xmin, xmax], \n",
    "            'y': [ymin, ymax], \n",
    "            'label': [0, 0, 0, 1]\n",
    "           },\n",
    "    'space_step': dx,\n",
    "    'scheme_velocity': la,\n",
    "    'parameters': {LA: la},\n",
    "    'schemes': [\n",
    "        {\n",
    "            'velocities': list(range(9)),\n",
    "            'conserved_moments': [rho, qx, qy],\n",
    "            'polynomials': [\n",
    "                1, LA*X, LA*Y,\n",
    "                3*(X**2+Y**2)-4,\n",
    "                0.5*(9*(X**2+Y**2)**2-21*(X**2+Y**2)+8),\n",
    "                3*X*(X**2+Y**2)-5*X, 3*Y*(X**2+Y**2)-5*Y,\n",
    "                X**2-Y**2, X*Y\n",
    "            ],\n",
    "            'relaxation_parameters': s,\n",
    "            'equilibrium': [\n",
    "                rho, qx, qy,\n",
    "                -2*rho + 3*q2,\n",
    "                rho-3*q2,\n",
    "                -qx/LA, -qy/LA,\n",
    "                qx2-qy2, qxy\n",
    "            ],\n",
    "        },\n",
    "    ],\n",
    "    'init': {rho: rhoo, \n",
    "             qx:0., \n",
    "             qy:0.\n",
    "    },\n",
    "    'boundary_conditions': {\n",
    "        0: {'method': {0: pylbm.bc.BouzidiBounceBack}},\n",
    "        1: {'method': {0: pylbm.bc.BouzidiBounceBack}, 'value': bc}\n",
    "    },\n",
    "    'generator': 'cython',\n",
    "}\n",
    "\n",
    "sol = pylbm.Simulation(dico)\n",
    "while (sol.t<Tf):\n",
    "    sol.one_time_step()\n",
    "plot(sol)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The $\\DdQq{3}{15}$ **for Navier-Stokes**\n",
    "\n",
    "The $\\DdQq{3}{15}$ is defined by:\n",
    "\n",
    "* a space step $\\dx$ and a time step $\\dt$ related to the scheme velocity $\\lambda$ by the relation $\\lambda=\\dx/\\dt$,\n",
    "* fifteen velocities $\\{(0,0,0), (\\pm1,0,0), (0,\\pm1,0), (0,0,\\pm1), (\\pm1, \\pm1,\\pm1)\\}$, identified in pylbm by the numbers $\\{0,\\ldots,6,19,\\ldots,26\\}$,\n",
    "* fifteen polynomials used to build the moments\n",
    "\n",
    "$$ \n",
    "\\{1, E-2, (15E^2-55E+32)/2, X, X(5E-13)/2, Y, Y(5E-13)/2, Z, Z(5E-13)/2, 3X^2-E, Y^2-Z^2, XY, YZ, ZX, XYZ \\},\n",
    "$$\n",
    "\n",
    "where $E = X^2+Y^2+Z^2$.\n",
    "\n",
    "* four conserved moments $\\rho$, $q_x$, $q_y$, and $q_z$,\n",
    "* fifteen relaxation parameters (four are $0$ corresponding to conserved moments): $\\{0, s_1, s_2, 0, s_4, 0, s_4, 0, s_4, s_9, s_9, s_{11}, s_{11}, s_{11}, s_{14}\\}$,\n",
    "* equilibrium value of the non conserved moments\n",
    "\n",
    "$$\n",
    "\\begin{aligned} \\mke{1} &= -\\rho + q_x^2 + q_y^2 + q_z^2,\\\\ \\mke{2} &= -\\rho,\\\\ \\mke{4} &= -7q_x/3, \\\\ \\mke{6} &= -7q_y/3, \\\\ \\mke{8} &= -7q_z/3, \\\\ \\mke{9} &= (2q_x^2-(q_y^2+q_z^2))/3, \\\\ \\mke{10} &= q_y^2-q_z^2, \\\\ \\mke{11} &= q_xq_y, \\\\ \\mke{12} &= q_yq_z, \\\\ \\mke{13} &= q_zq_x, \\\\ \\mke{14} &= 0. \\end{aligned}\n",
    "$$\n",
    "\n",
    "This scheme is consistant at second order with the Navier-Stokes equations with the shear viscosity $\\eta$ and the relaxation parameter $s_9$ linked by the relation\n",
    "\n",
    "$$ \n",
    "s_9 = \\frac{2}{1 + 6\\eta /\\dx}.\n",
    "$$\n",
    "\n",
    "We write a dictionary for a simulation of the Navier-Stokes equations on $(0,1)^3$.\n",
    "\n",
    "In order to impose the boundary conditions, we use the bounce-back conditions to fix $q_x=q_y=q_z=0$ at south, north, east, west, and bottom and $q_x=\\rho u$, $q_y=q_z=0$ at top. The driven velocity $u$ could be $u=\\lambda/10$.\n",
    "\n",
    "We compute the stationary solution of the problem obtained for large enough final time. We plot the solution with the function quiver of matplotlib."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reynolds number:  2.000e+03\n",
      "Shear viscosity:  5.000e-05\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[0] WARNING  pylbm.scheme in function _check_inverse line 394\n",
      "Problem M * invM is not identity !!!\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, Y, Z, LA = sp.symbols('X, Y, Z, LA')\n",
    "rho, qx, qy, qz = sp.symbols('rho, qx, qy, qz')\n",
    "\n",
    "def bc(f, m, x, y, z):\n",
    "    m[qx] = rhoo * vup\n",
    "\n",
    "def plot(sol):\n",
    "    plt.clf()\n",
    "    pas = 4\n",
    "    nz = int(sol.domain.shape_in[1] / 2) + 1\n",
    "    y, x = np.meshgrid(sol.domain.y[::pas], sol.domain.x[::pas])\n",
    "    u = sol.m[qx][::pas,nz,::pas] / sol.m[rho][::pas,nz,::pas]\n",
    "    v = sol.m[qz][::pas,nz,::pas] / sol.m[rho][::pas,nz,::pas]\n",
    "    nv = np.sqrt(u**2+v**2)\n",
    "    normu = nv.max()\n",
    "    u = u / (nv+1e-5)\n",
    "    v = v / (nv+1e-5)\n",
    "    plt.quiver(x, y, u, v, nv, pivot='mid')\n",
    "    plt.title('Solution at t={0:9.3f}'.format(sol.t))\n",
    "    plt.show()\n",
    "\n",
    "# parameters\n",
    "Re = 2000\n",
    "dx = 1./64   # spatial step\n",
    "la = 1.      # velocity of the scheme\n",
    "Tf = 3       # final time of the simulation\n",
    "vup = la/10  # maximal velocity obtained in the middle of the channel\n",
    "rhoo = 1.    # mean value of the density\n",
    "eta = rhoo*vup/Re  # shear viscosity\n",
    "# initialization\n",
    "xmin, xmax, ymin, ymax, zmin, zmax = 0., 1., 0., 1., 0., 1.\n",
    "dummy = 3.0/(la*rhoo*dx)\n",
    "\n",
    "s1 = 1.6\n",
    "s2 = 1.2\n",
    "s4 = 1.6\n",
    "s9 = 1./(.5+dummy*eta)\n",
    "s11 = s9\n",
    "s14 = 1.2\n",
    "s  = [0, s1, s2, 0, s4, 0, s4, 0, s4, s9, s9, s11, s11, s11, s14]\n",
    "\n",
    "r = X**2+Y**2+Z**2\n",
    "\n",
    "print(\"Reynolds number: {0:10.3e}\".format(Re))\n",
    "print(\"Shear viscosity: {0:10.3e}\".format(eta))\n",
    "\n",
    "dico = {\n",
    "    'box':{\n",
    "        'x': [xmin, xmax],\n",
    "        'y': [ymin, ymax],\n",
    "        'z': [zmin, zmax],\n",
    "        'label': [0, 0, 0, 0, 0, 1]\n",
    "    },\n",
    "    'space_step': dx,\n",
    "    'scheme_velocity': la,\n",
    "    'parameters': {LA: la},\n",
    "    'schemes': [\n",
    "        {\n",
    "            'velocities': list(range(7)) + list(range(19,27)),\n",
    "            'conserved_moments': [rho, qx, qy, qz],\n",
    "            'polynomials': [\n",
    "                1,\n",
    "                r - 2, .5*(15*r**2-55*r+32),\n",
    "                X, .5*(5*r-13)*X,\n",
    "                Y, .5*(5*r-13)*Y,\n",
    "                Z, .5*(5*r-13)*Z,\n",
    "                3*X**2-r, Y**2-Z**2,\n",
    "                X*Y, Y*Z, Z*X,\n",
    "                X*Y*Z\n",
    "            ],\n",
    "            'relaxation_parameters': s,\n",
    "            'equilibrium': [\n",
    "                rho,\n",
    "                -rho + qx**2 + qy**2 + qz**2,\n",
    "                -rho,\n",
    "                qx,\n",
    "                -7./3*qx,\n",
    "                qy,\n",
    "                -7./3*qy,\n",
    "                qz,\n",
    "                -7./3*qz,\n",
    "                1./3*(2*qx**2-(qy**2+qz**2)),\n",
    "                qy**2-qz**2,\n",
    "                qx*qy,\n",
    "                qy*qz,\n",
    "                qz*qx,\n",
    "                0\n",
    "            ],\n",
    "        },\n",
    "    ],\n",
    "    'init': {rho: rhoo, \n",
    "             qx: 0., \n",
    "             qy: 0., \n",
    "             qz: 0.\n",
    "    },\n",
    "    'boundary_conditions':{\n",
    "        0: {'method': {0: pylbm.bc.BouzidiBounceBack}},\n",
    "        1: {'method': {0: pylbm.bc.BouzidiBounceBack}, 'value': bc}\n",
    "    },\n",
    "    'generator': 'cython',\n",
    "}\n",
    "\n",
    "sol = pylbm.Simulation(dico)\n",
    "while (sol.t<Tf):\n",
    "    sol.one_time_step()\n",
    "plot(sol)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
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